MHT CET · Physics · Kinetic Theory of Gases
If ' \(\mathrm{E}\) ' is the kinetic energy per mole of an ideal gas and ' \(\mathrm{T}\) ' is the absolute temperature, then the universal gas constant is given as
- A \(\frac{2 \mathrm{~T}}{3 \mathrm{E}}\)
- B \(\frac{2 E}{3 T}\)
- C \(\frac{3 \mathrm{~T}}{2 \mathrm{E}}\)
- D \(\frac{3 \mathrm{E}}{2 \mathrm{~T}}\)
Answer & Solution
Correct Answer
(B) \(\frac{2 E}{3 T}\)
Step-by-step Solution
Detailed explanation
The kinetic energy per mole \(E=\frac{3}{2} R T\)
\(
\therefore \mathrm{R}=\frac{2 \mathrm{E}}{3 \mathrm{~T}}
\)
\(
\therefore \mathrm{R}=\frac{2 \mathrm{E}}{3 \mathrm{~T}}
\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Let ' \(n\) ' is the number of liquid drops, each with surface energy ' \(E\) '. These drops join to form single drop. In this processMHT CET 2024 Medium
- The radius of the soap bubble is doubled under isothermal condition. If be the surface tension of the soap bubble, the work done in doing so is given byMHT CET 2018 Hard
- Two wavelengths of sodium light \(590 \mathrm{~nm}\) and \(596 \mathrm{~nm}\) are used one after another to study diffraction due to single slit of aperture \(2 \times 10^{-6} \mathrm{~m}\). The distance between the slit and the screen is \(1.5 \mathrm{~m}\). The separation between the positions of first maximum of the diffraction pattern obtained in the two cases isMHT CET 2023 Medium
- The efficiency of a heat engine is ' \(\eta\) ' and the coefficient of performance of a refrigerator is ' \(\beta\) '. ThenMHT CET 2023 Easy
- The threshold wavelengths for photoelectric emission from two metals \(\mathrm{A}\) and \(\mathrm{B}\)
are \(400 \mathrm{~nm}\) and \(800 \mathrm{~nm}\) respectively. The ratio of their work functions, \(\phi_{A}\) to \(\phi\) ?
isMHT CET 2020 Medium - The ratio of work done by an ideal rigid diatomic gas to the heat supplied by the gas in an isobaric process isMHT CET 2024 Easy
More PYQs from MHT CET
- Which from following compounds is NOT in gaseous phase at \(25^{\circ} \mathrm{C}\) ?MHT CET 2024 Medium
- \(\int \cos \sqrt{x} \mathrm{~d} x=\)
(where \(C\) is a constant of integration.)MHT CET 2022 Medium - Match the column I with column II and select the correct option.
Column I
(Pathogen)Column II
(Host)a. Bacillus papillae i. Gypsy moths b. Beauveria bassiana ii. Cabbage worms c. Nosema locustae iii. Aphids d. Nucleopolyhedroviral virus iv. Grasshoppers MHT CET 2022 Medium - A particle is performing S.H.M. with maximum velocity ' \(\mathrm{v}\) '. If the amplitude is tripled and periodic time is doubled then maximum velocity will beMHT CET 2021 Easy
- The resonant frequency of an \(L-C\) circuit isMHT CET 2012 Medium
- If \(\log (x+y)=\sin (x+y)\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}\) isMHT CET 2024 Easy